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Finding the Fourth Proportional to 106,401.60, 159,472.80 and 47,174.40

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Solution

The fourth proportional to 106,401.60, 159,472.80 and 47,174.40 is: 70,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,401.60 : 159,472.80 = 47,174.40 : x
  2. Step 2: Convert to fraction form
    106,401.60/159,472.80 = 47,174.40/x
  3. Step 3: Cross multiply
    106,401.60x = 159,472.80 × 47,174.40
  4. Step 4: Simplify right side
    106,401.60x = 7,523,033,656.32
  5. Step 5: Solve for x
    x = 7,523,033,656.32/106,401.60
  6. Step 6: Final answer
    x = 70,704.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.